Finite-time command filtered backstepping control for a class of nonlinear systems

Yu, Jinpeng; Shi, Peng; Zhao, Lin

doi:10.1016/j.automatica.2018.03.033

Cited by 566 publications

(293 citation statements)

References 24 publications

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“…In this paper, only d i > 0 is considered in the control design. When d i = 1, i = 1,…, n , system is equivalent to formula (1) in the work of Yu et al and at the same time covers system (1.1) in the work of Zhao and Zhang …”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

“…Remark Assumption is common in related articles with unknown control coefficients (see the works of Yu et al and Zhang and Yang for examples). In this paper, only d i > 0 is considered in the control design.…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

“…Compared with infinite time convergence, the finite‐time stability has become the goal pursued by researchers with its rosy transient performance and fast convergence rate. For this reason, some excellent results about the finite‐time stability have sprung up for a variety of different systems, such as continuous‐time linear systems, robotic systems, switched high‐order systems, and nonlinear systems . However, it seems difficult to implement the control design and stability analysis directly for uncertain nonlinear systems or adaptive fuzzy systems with existing finite‐time stability criterion.…”

Section: Introductionmentioning

confidence: 99%

“…For this reason, some excellent results about the finite-time stability have sprung up for a variety of different systems, such as continuous-time linear systems, 1 robotic systems, 4 switched high-order systems, 5 and nonlinear systems. [6][7][8] However, it seems difficult to implement the control design and stability analysis directly for uncertain nonlinear systems or adaptive fuzzy systems with existing finite-time stability criterion. In fact, the practical finite-time stability theory proposed in the work of Wang et al 9 can meet the requirements of practical industrial systems for control rate and transient performance.…”

Section: Introductionmentioning

confidence: 99%

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Event‐triggered practical finite‐time output feedback stabilization of a class of uncertain nonlinear systems

Zhang

Yang

2019

Intl J Robust & Nonlinear

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Summary This paper studies the event‐triggered practical finite‐time output feedback stabilization problem for a class of uncertain nonlinear systems with unknown control gains. First, a reduced‐dimensional observer is employed to implement the reconstruction of the unavailable states. Furthermore, a novel event‐triggered output feedback control strategy is proposed based on the idea of backstepping design and sign function techniques. It is shown that the practical finite‐time stability of the closed‐loop systems is ensured by Lyapunov analysis and related stability criterion. Compared with the existing methods, the main advantage of this strategy is that the observer errors and event‐trigger errors can be processed simultaneously to achieve the practical finite‐time stability. Finally, an example is adopted to demonstrate the validity of the proposed scheme.

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Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Event‐triggered practical finite‐time output feedback stabilization of a class of uncertain nonlinear systems

Zhang

Yang

2019

Intl J Robust & Nonlinear

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“…In the next step, the backstepping method is added to the SMC to obtain the BSMC. The backstepping control method creates temporary control rules using state variables as virtual control . Finally, the BSMPIC method was proposed.…”

Section: Introductionmentioning

confidence: 99%

Sliding mode PI control with backstepping approach for MIMO nonlinear cross‐coupled tank systems

Aksu

Çoban

2019

Intl J Robust & Nonlinear

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Summary The control of tank systems in industrial applications is an important issue for monitoring the chemical processes involved in the manufacture and delivery of product. The most important reason to control the tank systems is to keep the liquid level in the tanks constant and at the desired level for a specified period of time. In this study, the sliding mode control (SMC) with a repetitive approach called backstepping that is insensitive to uncertainties in system parameters and input disturbances is proposed and experimentally applied to a quadruple, cross‐coupled, uncertain, nonlinear, and multiple‐input/multiple‐output tank system. A proportional‐integral (PI) control is used to reduce the steady‐state error caused by the parameter variations and external noises. The traditional way of introducing PI usually leads to sliding surfaces. In this paper, the PI action is introduced to the control signal. The proposed backstepping sliding mode PI control (BSMPIC) is applied to such a complex tank system for the first time. The experimental results are compared with those of the SMC, sliding mode PI control, and backstepping sliding mode control to see the effect of the proposed BSMPIC on the system. As a result of the comparison, it is observed that less overshoot and tracking error, better tracking performance, and faster rise time in the transient regime is obtained by the BSMPIC.

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Adaptive finite‐time tracking control for parameterized nonlinear systems with full state constraints

Zhang

2021

Adaptive Control & Signal

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Summary In this article, the issue of adaptive finite‐time dynamic surface control (DSC) is discussed for a class of parameterized nonlinear systems with full state constraints. Using the property of logarithmic function, a one‐to‐one nonlinear mapping is constructed to transform a constrained system into an unconstrained system with the same structure. The nonlinear filter is constructed to replace the first‐order linear filter in the traditional DSC, and the demand on the filter time constant is reduced. Based on finite‐time stable theory and using modified DSC, the finite‐time controller is designed via DSC. Theoretical analysis shows that all the signals in the closed‐loop system are semiglobal practical finite‐time stable. Furthermore, none of the states are outside the defined open set. In the end, simulation results are presented to demonstrate the effectiveness of the proposed control schemes with both linear filters and nonlinear filters.

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Finite-time command filtered backstepping control for a class of nonlinear systems

Cited by 566 publications

References 24 publications

Event‐triggered practical finite‐time output feedback stabilization of a class of uncertain nonlinear systems

Event‐triggered practical finite‐time output feedback stabilization of a class of uncertain nonlinear systems

Sliding mode PI control with backstepping approach for MIMO nonlinear cross‐coupled tank systems

Adaptive finite‐time tracking control for parameterized nonlinear systems with full state constraints

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